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122140412213 = 1572695934877
BaseRepresentation
bin111000111000000100…
…0101100100100110101
3102200021011201211001212
41301300020230210311
54000120421142323
6132035512531205
711552516242151
oct1616010544465
9380234654055
10122140412213
1147888095536
121b8086b0b05
13b696784581
145ca9712061
15329cd51b78
hex1c7022c935

122140412213 has 16 divisors (see below), whose sum is σ = 123608715120. Its totient is φ = 120682638336.

The previous prime is 122140412203. The next prime is 122140412267. The reversal of 122140412213 is 312214041221.

It can be written as a sum of positive squares in 8 ways, for example, as 20992242769 + 101148169444 = 144887^2 + 318038^2 .

It is a cyclic number.

It is not a de Polignac number, because 122140412213 - 220 = 122139363637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122140412203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25041731 + ... + 25046607.

It is an arithmetic number, because the mean of its divisors is an integer number (7725544695).

Almost surely, 2122140412213 is an apocalyptic number.

It is an amenable number.

122140412213 is a deficient number, since it is larger than the sum of its proper divisors (1468302907).

122140412213 is a wasteful number, since it uses less digits than its factorization.

122140412213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 122140412213 its reverse (312214041221), we get a palindrome (434354453434).

The spelling of 122140412213 in words is "one hundred twenty-two billion, one hundred forty million, four hundred twelve thousand, two hundred thirteen".

Divisors: 1 157 269 593 4877 42233 93101 159517 765689 1311913 2892061 25044169 205970341 454053577 777964409 122140412213